calc ab/bc

a^u

a^u(lna)(u')

ln(u)

1/u*u'

loga(u)

1/ulna*u'

e^x

e^x

e^u

e^u*u'

sin-1(x)

1/sqrt(1-u^2)*u'

cos-1(x)

-1/sqrt(1-u^2)*u'

tan-1(x)

1/1+u^2*u'

cot-1(x)

-1/1+u^2*u'

sec-1(x)

1/|u|sqrt(u^2-1)*u'

csc-1(x)

-1/|u|sqrt(u^2-1)*u'

sinx

cosx

cosx

-sinx

tanx

sec^2x

cscx

-cscxcotx

secx

secxtanx

cotx

-csc^2x

sin^2(x)

(1-cos2x)/2

cos^2(x)

(1+cos2x)/2

sin(x/2)

sqrt((1-cosx)/2)

cos(x/2)

sqrt((1+cosx)/2)

pythagorean identity (sin and cos)

sin^2(x)+cos^2(x)=1

pythagorean identity (tan and sec)

1+tan^2(x)=sec^2(x)